Geometric Mean Calculator
Calculate the geometric mean of a set of numbers. Perfect for growth rates, ratios, and multiplicative data.
Separate numbers with commas or spaces
Try These Examples
About Geometric Mean
When to Use Geometric Mean
- •Growth rates (investment returns, population growth)
- •Ratios and proportions
- •Normalized data (indexes, benchmarks)
- •Multiplicative relationships
Properties
- •GM ≤ AM (always less than or equal to arithmetic mean)
- •Only defined for positive numbers
- •Less affected by extreme values than AM
- •For two numbers: GM = √(a × b)
Real-World Example: Investment Returns
If an investment grows 10% year 1, 20% year 2, and -5% year 3, use factors 1.10, 1.20, 0.95. The geometric mean gives the equivalent constant growth rate that would produce the same final result.
About Geometric Mean Calculator - Statistics Tool
Calculate the geometric mean of a set of numbers. Perfect for growth rates, investment returns, and proportional averages.
Our **Geometric Mean Calculator** computes the geometric mean for any set of positive numbers. Enter your values and get the nth root of their product, essential for averaging rates, returns, and proportional data. For sum calculations, see our Sum of Squares Calculator.
The geometric mean is the nth root of the product of n numbers: GM = (x₁ × x₂ × ... × xₙ)^(1/n). Unlike arithmetic mean, it's appropriate for data that multiply together or represent rates of change.
Use geometric mean for compound growth rates, investment returns, image processing, and anywhere multiplicative relationships exist. Our calculator also compares geometric to arithmetic mean for insight.
Key Features
Why Use This Tool?
Common Use Cases
Finance: Average investment returns over years.
Biology: Population growth rates.
Image Processing: Resize factor averaging.
Statistics: Central tendency for ratios.
How to Use
Enter your numbers (comma-separated)
Click Calculate
View geometric mean result
Compare with arithmetic mean